Abstract
We consider the estimation of ordered parameters ofk (≥ 2) exponential distributions by improving upon the usual estimators. TheBrewsterzidek technique is used to find sufficient conditions for an estimator of λ i and/or μ i (i=1,...,k), to be inadmissible with respect to the MSE criterion where μ i and λ i are the location and scale parameters respectively of thei-th exponential population. Using these sufficient conditions improved estimators of λ i and/or μ i (i=1,...,k) are obtained.
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Vijayasree, G., Misra, N. & Singh, H. Componentwise estimation of ordered parameters ofk (≥2) exponential populations. Ann Inst Stat Math 47, 287–307 (1995). https://doi.org/10.1007/BF00773464
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DOI: https://doi.org/10.1007/BF00773464